• DocumentCode
    1904820
  • Title

    A Liouville type theorem for p-harmonic morphisms

  • Author

    Kang, Tae Ho

  • Author_Institution
    Sch. of Math. & Phys., Ulsan Univ., South Korea
  • Volume
    3
  • fYear
    2003
  • fDate
    6-6 July 2003
  • Firstpage
    220
  • Abstract
    Let M be a complete noncompact Riemannian manifold with nonnegative Ricci curvature and N be a Riemannian manifold with nonpositive scalar curvature. Then we show that each p-harmonic morphism /spl phi/ from M to N with /spl int//sub M/|d/spl phi/|/sup 2p-2/d/spl upsi//sub g/ < /spl infin/ is a constant map.
  • Keywords
    Liouville equation; geometry; harmonic analysis; Liouville type theorem; complete noncompact Riemannian manifold; constant map; nonnegative Ricci curvature; nonpositive scalar curvature; p-harmonic morphisms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Science and Technology, 2003. Proceedings KORUS 2003. The 7th Korea-Russia International Symposium on
  • Conference_Location
    Ulsan, South Korea
  • Print_ISBN
    89-7868-617-6
  • Type

    conf

  • Filename
    1222868
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1904820